77995008 has 352 divisors, whose sum is σ = 293457920. Its totient is φ = 19906560.

The previous prime is 77995003. The next prime is 77995009. The reversal of 77995008 is 80059977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77995003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515953 + ... + 2515983.

Almost surely, 2^77995008 is an apocalyptic number.

77995008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146728960).

77995008 is an abundant number, since it is smaller than the sum of its proper divisors (215462912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77995008 is a wasteful number, since it uses less digits than its factorization.

77995008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 77995008 is about 8831.4782454581. The cubic root of 77995008 is about 427.2567529701.

Subtracting 77995008 from its reverse (80059977), we obtain a square (2064969 = 1437²).

The spelling of 77995008 in words is "seventy-seven million, nine hundred ninety-five thousand, eight".